Displaying similar documents to “Periodic Solutions of Superquadratic Hamiltonian Systems with Bounded Forcing Terms.”

Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface

Chengfu Che, Xiaoping Xue (2012)

Annales Polonici Mathematici

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Two theorems about the existence of periodic solutions with prescribed energy for second order Hamiltonian systems are obtained. One gives existence for almost all energies under very natural conditions. The other yields existence for all energies under a further condition.

Periodic solutions for second-order Hamiltonian systems with a p-Laplacian

Xingyong Zhang, Xianhua Tang (2010)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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In this paper, by using the least action principle, Sobolev’s inequality and Wirtinger’s inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.

Periodic solutions for second-order Hamiltonian systems with a p -Laplacian

Xianhua Tang, Xingyong Zhang (2010)

Annales UMCS, Mathematica

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In this paper, by using the least action principle, Sobolev's inequality and Wirtinger's inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.